B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.
Citation:
B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.
B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.
Citation:
B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.
Fixed Point with Orbital Diametral Function
Received Date: 1994-11-03
Publish Date:
1996-02-15
Abstract
A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy & Roger's type contractive conditions. An example is given in its support.
References
[1]
G.E.Hardy and T.D.Rogers,A generalization of a fixed point theorem of Reich,Canad.Math.Bull..16(1973),201-206.
[2]
A.K.Kalinde,On a fixed point theorem for Kannan's type mappings.Math.Japonica 33,5(1988),721-723.
[3]
R.Kannan,Some results on fixed point,Bull.Calcutta Math.Soc.,60(1968),71-76.
[4]
S.Reich,Some remark's concerning contraction mappings.Canad.Math.Bull.,14(1971),121-124.
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